MathDB
2010 Geometry #5

Source:

January 2, 2024
geometry

Problem Statement

A sphere is the set of points at a fixed positive distance rr from its center. Let S\mathcal{S} be a set of 20102010-dimensional spheres. Suppose that the number of points lying on every element of S\mathcal{S} is a finite number nn. Find the maximal possible value of nn.
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